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Finding the Fourth Proportional to 57,223.10, 85,834.65 and 36,227.90

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Solution

The fourth proportional to 57,223.10, 85,834.65 and 36,227.90 is: 54,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223.10 : 85,834.65 = 36,227.90 : x
  2. Step 2: Convert to fraction form
    57,223.10/85,834.65 = 36,227.90/x
  3. Step 3: Cross multiply
    57,223.10x = 85,834.65 × 36,227.90
  4. Step 4: Simplify right side
    57,223.10x = 3,109,609,116.74
  5. Step 5: Solve for x
    x = 3,109,609,116.74/57,223.10
  6. Step 6: Final answer
    x = 54,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.